The <em>least</em> polynomial in <em>standard</em> form is defined by the function f(x) = x⁷ + 6 · x⁶ - 54 · x⁴ - 81 · x³.
<h3>How to determine the least polynomial given a set of roots and a leading coefficient</h3>
Polynomials can be expressed as a product of binomials of the form (x - r) multiplied by a <em>leading</em> coefficient. The <em>least</em> polynomial contain the number of roots presented in statement, whose <em>factor</em> form is shown below:
f(x) = 1 · (x + 3)³ · x³ · (x - 3)
f(x) = (x + 3)³ · (x⁴ - 3 · x³)
f(x) = (x³ + 9 · x² + 27 · x + 27) · (x⁴ - 3 · x³)
f(x) = x⁷ + 9 · x⁶ + 27 · x⁵ + 27 · x⁴ - 3 · x⁶ - 27 · x⁵ - 81 · x⁴ - 81 · x³
f(x) = x⁷ + 6 · x⁶ - 54 · x⁴ - 81 · x³
The <em>least</em> polynomial in <em>standard</em> form is defined by the function f(x) = x⁷ + 6 · x⁶ - 54 · x⁴ - 81 · x³.
To learn more on polynomials: brainly.com/question/11536910
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1/6 divided by 3 is 1/18
1/6÷3/1 then do reciprocal so it is 1/6×1/3 equals 1/18
Answer:
If we look at the table we notice that 2 + 4 = 6, 3 + 4 = 7, 4 + 4 = 8 and so on so the equation is y = x + 4.
Answer:
110
Step-by-step explanation:
Multiply 2*6 to get 12 then 7*14 to het 98 add those together and you get 110
Answer:
3a:20d+35
3b:35u+49q+56
4a:15+20t
4b:96k+120t+84
5a:24t+108m+60
5b:56q+28b+35
6a:14q+10w+24
6b:54v+99+27t
7a:16g+24+24c
7b:30a+55+50d
(i think thats what they are but the picture is small so its kind of hard to see)
Step-by-step explanation:
(since theres 10 total ill just give an example on how i solved 5a)
5(4d+7)
simplify into: (5•4d)+(5•7)
multiply: (20d)+(35)
since you do not know what d is, you cannot add them
remove parentheses once done:20d+35
(you don't need parentheses since multiplication come before addition but its easier to just use them)
<h2>Hope this helps</h2>
